Atkin-Lehner |
3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
25773w |
Isogeny class |
Conductor |
25773 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
112070720421 = 34 · 117 · 71 |
Discriminant |
Eigenvalues |
-2 3- 3 -1 11- 1 -7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12624,541514] |
[a1,a2,a3,a4,a6] |
Generators |
[51:181:1] |
Generators of the group modulo torsion |
j |
125600960512/63261 |
j-invariant |
L |
4.115866346757 |
L(r)(E,1)/r! |
Ω |
1.0395082798361 |
Real period |
R |
0.49492948091354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77319y1 2343f1 |
Quadratic twists by: -3 -11 |